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11976281344 = 28137341477
BaseRepresentation
bin10110010011101011…
…11000110100000000
31010220122111010110201
423021311320310000
5144011412000334
65300221134544
7602532466066
oct131165706400
933818433421
1011976281344
115096331485
1223a29ba454
13118b27b911
14818806036
154a1637c14
hex2c9d78d00

11976281344 has 36 divisors (see below), whose sum is σ = 24080345604. Its totient is φ = 5944414208.

The previous prime is 11976281311. The next prime is 11976281357. The reversal of 11976281344 is 44318267911.

It can be written as a sum of positive squares in 2 ways, for example, as 3034687744 + 8941593600 = 55088^2 + 94560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11976281294 and 11976281303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135667 + ... + 205810.

It is an arithmetic number, because the mean of its divisors is an integer number (668898489).

Almost surely, 211976281344 is an apocalyptic number.

It is an amenable number.

11976281344 is an abundant number, since it is smaller than the sum of its proper divisors (12104064260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11976281344 is an equidigital number, since it uses as much as digits as its factorization.

11976281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341630 (or 341616 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The spelling of 11976281344 in words is "eleven billion, nine hundred seventy-six million, two hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 2192 4384 8768 17536 35072 341477 682954 1365908 2731816 5463632 10927264 21854528 43709056 46782349 87418112 93564698 187129396 374258792 748517584 1497035168 2994070336 5988140672 11976281344